The batsmen dismissed this morning after England resumed at 338 for 6 were Samit Patel (60), stand-in captain Stuart Broad (6) and Graham Onions (0).
England declared after 34 minutes of play and in the remaining time to lunch, Mumbai A made 43 for the loss of opener Bhavin Thakkar (5 in 38 balls).
Invitee team members Shikhar Dhawan (23 in 54 balls) and Cheteshwar Pujara (14 in 19 balls) were the not out batsmen at the interval.
In the morning, Mumbai A new ball bowlers Shardul Thakur and Kshemal Waingankar polished off three tourists batsmen for the addition of seven runs.
Thakur bagged two of the three wickets that fell before England declared their innings closed at the fall of Graham Onions to Thakur off the last ball of the eighth over.
Thakur, who finished with 3 for 53, sent back Broad, who fell leg before, and Onions, who was caught behind, in the space of 12 balls.
Waingankar packed off overnight batsman Samit Patel, who added just one run, to add to the two wickets he grabbed on Saturday for innings figures of 3 for 72.
Broad and Patel hit seven fours before the two batsmen were out in successive balls in consecutive overs and at the same team score of 339.
England declared when Onions departed with Monty Panesar yet to bat. The visitors lost three wickets in 23 balls in the morning after resuming at 338 for 6.
Apart from Waingankar and Thakur, seamer Javed Khan (2 for 75), who turned up to play on Saturday hours after his father died and also missed the funeral held this morning, and captain Suryakumar Yadav (1 for 30) were the other wicket-takers.
Mumbai A openers Shikhar Dhawan and Bhavin Thakkar started sedately and put on just one run in four overs before the former square cut James Anderson for the first boundary of the innings.
The left-hander later drove the England pace bowler to the extra cover fence stylishly.
Thakkar took his first run off the 33rd ball he faced before edging Onions to wicket-keeper Jonny Bairstow after making 5 in 48 minutes.
Pujara looked in good touch, flicking and driving the bowlers for three boundaries while Dhawan too batted confidently against the new ball bowlers and had hit four fours by lunch.
England gave a good work-out to their three fast bowlers -- Anderson, Onions and Broad -- before the break.
Left-arm spinner Monty Panesar also got the ball 10 minutes before lunch, along with part-time slow bowler Joe Root.